Chapter U3, Problem C12.4RE

Interpretation Introduction

Interpretation: Number of moles of nitrogen (N₂) gas present in 2 L at 350 K & 1.5 atm needs to be determined.

Concept Introduction: To calculate the number of moles in a solution using Ideal Gas Law

  $PV=nRT$

This equation states the behavior of gases under many conditions.

Where, R = Ideal gas constant (0.08206 L.atm/mol.K)

n= amount of substance

P= pressure

V= volume

And, T is temperature

Answer to Problem C12.4RE

The 0.1045 moles of N₂ are contained in a 2L of solution at 350 K and 1.5 atm.

Explanation of Solution

The ideal gas equation is represented as follows:

  $PV=nRT$

On rearranging,

  $\begin{array}{l}n=\frac{\text{PV}}{\text{RT}}\\ P=1.5atm\\ V=2L\\ R=0.082\text{L atm/K mol}\\ T=350\text{ K}\\ n=\frac{\left(1.5\text{ atm}\right)\left(2\text{ L}\right)}{\left(0.082\text{ L atm/K mol}\right)\left(350\text{ K}\right)}\\ =0.1045\text{ mol }\end{array}$

Conclusion

The number of moles of N₂gas present in a given solution is calculated using the ideal gas law and calculated value is 0.1045 moles.